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Finding the Fourth Proportional to 100,106.90, 150,116.07 and 29,973.14

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Solution

The fourth proportional to 100,106.90, 150,116.07 and 29,973.14 is: 44,946.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,106.90 : 150,116.07 = 29,973.14 : x
  2. Step 2: Convert to fraction form
    100,106.90/150,116.07 = 29,973.14/x
  3. Step 3: Cross multiply
    100,106.90x = 150,116.07 × 29,973.14
  4. Step 4: Simplify right side
    100,106.90x = 4,499,449,982.36
  5. Step 5: Solve for x
    x = 4,499,449,982.36/100,106.90
  6. Step 6: Final answer
    x = 44,946.45

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.